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Finding the Fourth Proportional to 12,426.88, 17,149.44 and 6,838.40

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Solution

The fourth proportional to 12,426.88, 17,149.44 and 6,838.40 is: 9,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.88 : 17,149.44 = 6,838.40 : x
  2. Step 2: Convert to fraction form
    12,426.88/17,149.44 = 6,838.40/x
  3. Step 3: Cross multiply
    12,426.88x = 17,149.44 × 6,838.40
  4. Step 4: Simplify right side
    12,426.88x = 117,274,730.50
  5. Step 5: Solve for x
    x = 117,274,730.50/12,426.88
  6. Step 6: Final answer
    x = 9,437.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.